Simplification Q1. Sq root 1^3+2^3+3^3+4^3+5^3+6^3 = ? Q2. Sq root 1^3+2^3+3^3.....+100^3 = ? Q3. Sq root 1^3+2^3+3^3+4^3 = ?


Trick :



  1. Identify the highest number = n

  2. Multiply: n×(n+1)

  3. Divide by 2: n(n+1)/2


Example:


Q: 3 Sq root 1^3+2^3+3^3+4^3 = ?


Steps:



  1. Highest number n=4

  2. Multiply: 4×5=20

  3. Divide: 20÷2=10